In a class 1/6 of a children are girls there are five girls in the class how many boys are there in the class

On Melissa's 6th birthday, she gets a $6000 CD that earns 3% interest, compounded semiannually. If the CD matures on her 13th bi

nikklg [1K]

What are you looking for

5 0

3 years ago

Please help thank you.

Rainbow [258]

A. Given
b. Substituition Property (replaces x with the definition of x=8)
c. Subtraction Property of Equality (-1-88=-89)
d. Division Property of Equality (isolating y)
e. Symmetric Property of Equality (a=b -> b=a)

so the second option

8 0

2 years ago

The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed

algol [13]

Answer:

$\chi^2 = \frac{(27-33.33)^2}{33.33}+\frac{(31-33.33)^2}{33.33}+\frac{(42-33.33)^2}{33.33}+\frac{(40-33.33)^2}{33.33}+\frac{(28-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33} =5.860$

$p_v = P(\chi^2_{5} >5.860)=0.32$

Since the p value is higher than the significance level assumed 0.05 we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we can assume that we have equally like results.

Step-by-step explanation:

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

Number: 1, 2 , 3 , 4 , 5 ,6

Frequency: 27, 31, 42, 40, 28, 32

We need to conduct a chi square test in order to check the following hypothesis:

H0: The outcomes are equally likely.

H1: The outcomes are not equally likely.

The level of significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\chi^2 =\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The observed values are given:

$O_{1}=27$ $O_{2}=31$

$O_{3}=42$ $O_{4}=40$

$O_{5}=28$ $O_{6}=32$

The expected values are given by:

$E_{1} =\frac{1}{6}*200=33.33$ $E_{2} =\frac{1}{6}*200=33.33$

$E_{3} =\frac{1}{6}*200=33.33$ $E_{4} =\frac{1}{6}*200=33.33$

$E_{5} =\frac{1}{6}*200=33.33$ $E_{6} =\frac{1}{6}*200=33.33$

And now we can calculate the statistic:

$\chi^2 = \frac{(27-33.33)^2}{33.33}+\frac{(31-33.33)^2}{33.33}+\frac{(42-33.33)^2}{33.33}+\frac{(40-33.33)^2}{33.33}+\frac{(28-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33} =5.860$

Now we can calculate the degrees of freedom for the statistic given by:

$df=Categories-1=6-1=5$

And we can calculate the p value given by:

$p_v = P(\chi^2_{5} >5.860)=0.32$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(5.860,5,TRUE)"

Since the p value is higher than the significance level assumed 0.05 we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we can assume that we have equally like results.

4 0

3 years ago

More points for easy questions

Veseljchak [2.6K]

Answer:

"the sum of the cube of 6x and 2"

Step-by-step explanation:

We see that only the expression of 6x is being cubed, not the entire expression of (6x)³ + 2.

The first blank must apply to both these terms 6x and 2, so the word can't be cubed. Instead, because we're finding the sum of these two, the word should be "sum".

The second blank should apply to only the 6x because we've already described the relationship of 6x and 2. So, since we are cubing 6x, the word here should be "cube".

The final sentence should read:

"the sum of the cube of 6x and 2"

6 0

2 years ago

Read 2 more answers

Evaluate the expression 3(7 + 4)2 − 24 ÷ 6

solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3(7 + 4)2 − 24 ÷ 6 = 3(11)2 − 24 ÷ 6 = 66 − 24 ÷ 6

Next, we solve divide,

66 − 24 ÷ 6 = 66 - 4

Next, solving the subtraction, 66 - 4 = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0

2 years ago